Developing a Shock-Capturing Formulation with Higher Performance to Capture Normal Standing Shock in All-Speed Regime

Shock Capturing with Higher-Order, PDE-Based Artificial Viscosity

Artificial viscosity can be combined with a higher-order discontinuous Galerkin (DG) discretization to resolve a shock layer within a single cell. However, when a piecewiseconstant artificial viscosity model is employed with an otherwise higher-order approximation, element-to-element variations in the artificial viscosity arising at the shock induce oscillations in state gradients and pollute t...

3 Shock Capturing Methods

8 were performed by Mark Sussman, see ref 29], 30]. The algorithm is based on the level set method and is quite simple to implement. It should be stressed that no special work is needed at pinchoo, merging, development of kinks, etc. and the algorithm is very easy to implement on a xed, uniform grid. All these gures should be read left to right, top to bottom. Figure 1 shows the evolution of a ...

Viscous Shock Capturing in a Time-Explicit

Abstract. We present a novel, cell-local shock detector for use with discontinuous Galerkin (DG) 6 methods. The output of this detector is a reliably scaled, element-wise smoothness estimate which 7 is suited as a control input to a shock capture mechanism. Using an artificial viscosity in the latter 8 role, we obtain a DG scheme for the numerical solution of nonlinear systems of conservation l...

Electric shock in patients administered to hospital: a descriptive study

Shock Capturing with Discontinuous Galerkin Method

Shock capturing has been a challenge for computational fluid dynamicists over the years. This article deals with discontinuous Galerkin method to solve the hyperbolic equations in which solutions may develop discontinuities in finite time. The high order discontinuous Galerkin method combining the basis of finite volume and finite element methods has shown a lot of attractive features for a wid...